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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#87571 | #4900. 数列重排 | bear0131 | 90 | 172ms | 14012kb | C++11 | 3.6kb | 2023-03-13 18:43:23 | 2023-03-13 18:43:26 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i, n) for(int i = 0; i < n; ++i)
using namespace std;
typedef long long ll;
typedef vector<int> vi;
const int Mod = 998244353;
inline int sign(int a){ return a&1 ? Mod-1 : 1; }
inline void uadd(int &a, int b){ a += b-Mod; a += (a>>31) & Mod; }
inline void usub(int &a, int b){ a -= b; a += (a>>31) & Mod; }
inline void umul(int &a, int b){ a = (int)(1ll*a*b % Mod); }
inline int add(int a, int b){ return (a+b >= Mod) ? a+b-Mod : a+b; }
inline int sub(int a, int b){ return (a-b < 0) ? a-b+Mod : a-b; }
inline int mul(int a, int b){ return (int)(1ll*a*b % Mod); }
int qpow(int b, ll p){ int ret = 1; while(p){ if(p&1) umul(ret, b); umul(b, b), p >>= 1; } return ret; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////
int m, l, r, X;
int n;
ll N;
string str;
int presum[10000100];
int main(){
//freopen("seq.in", "r", stdin);
//freopen("seq.out", "w", stdout);
ios::sync_with_stdio(false);
cin >> m >> l >> r >> X >> str;
rep(i, m)
presum[i+1] = presum[i] + (str[i] == '1');
n = m * X + presum[m];
N = 1ll * n * (n+1) / 2;
bool all1 = 1;
ll has = 0;
int res = 0, pw = 1;
for(int i = 0; i < l; ++i){
all1 &= (str[i] == '1'), has += X + (str[i] == '1');
umul(pw, 233);
}
for(int i = l; i <= r; ++i){
ll ans;
if(i == 0)
ans = N;
else {
int x = X + all1;
ll S = n - has;
ans = 1ll * i * (i-1) * (x-1) + 1ll * i * (i+1) / 2 - 1;
//cout << ans << endl;
if(!all1)
ans += 1ll * presum[i] * (i-1); // presum[i+1] -> presum[i]
//cout << ans << endl;
ans += 2ll * S * (i-1);
//cout << ans << endl;
ll val = (S + 1ll * (x-1) * (i-1)) / (x+1);
//cout << " " << S << ": " << val << " " << ans << endl;
if(x == 1){
ll rval = S - val;
ans += 1ll * val * (val+1) / 2 + 1ll * rval * (rval+1) / 2;
ans -= 1ll * (i-1) * (val + rval);
} else {
if(S <= val + val)
val = S / 2;
ll nS = S - val - val;
ll nans = ans, pans = ans; ans = N+10; // add pans to recover nans
nans += 1ll * val * (val+1) / 2 + 1ll * val * (val+1) / 2;
ll nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
nans -= 1ll * (i-1) * (val + val);
//cout << " " << val << " " << val << ": " << nans << "\n";
ans = min(ans, nans);
if(val + val+1 <= S){
nans = pans;
nS = S - val - (val+1);
nans += 1ll * val * (val+1) / 2 + 1ll * (val+1) * ((val+1)+1) / 2;
nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
nans -= 1ll * (i-1) * (val + (val+1));
//cout << " " << val << " " << val+1 << ": " << nans << "\n";
ans = min(ans, nans);
}
if(val+1 + val+1 <= S){
nans = pans;
nS = S - (val+1) - (val+1);
nans += 1ll * (val+1) * ((val+1)+1) / 2 + 1ll * (val+1) * ((val+1)+1) / 2;
nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
nans -= 1ll * (i-1) * ((val+1) + (val+1));
//cout << " " << val+1 << " " << val+1 << ": " << nans << "\n";
ans = min(ans, nans);
}
}
ans = N - ans;
}
//cout << i << ": " << ans << endl;
res ^= mul(pw, (int)(ans % Mod));
umul(pw, 233);
has += X + (str[i] == '1'), all1 &= (str[i] == '1');
}
cout << res << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 3284kb
input:
2 0 2 2 01
output:
541257
result:
ok 1 number(s): "541257"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3264kb
input:
4 1 4 2 00001
output:
525797597
result:
ok 1 number(s): "525797597"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3284kb
input:
9 0 9 1 000000000
output:
711136343
result:
ok 1 number(s): "711136343"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3264kb
input:
1 0 1 9 0
output:
10456
result:
ok 1 number(s): "10456"
Test #5:
score: 0
Accepted
time: 2ms
memory: 3440kb
input:
2 1 2 3 11
output:
1518844
result:
ok 1 number(s): "1518844"
Subtask #2:
score: 15
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 15
Accepted
time: 0ms
memory: 3420kb
input:
21 0 21 9 111010011100100100000
output:
171658329
result:
ok 1 number(s): "171658329"
Test #7:
score: 0
Accepted
time: 2ms
memory: 3208kb
input:
200 0 200 1 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
output:
287932632
result:
ok 1 number(s): "287932632"
Test #8:
score: 0
Accepted
time: 2ms
memory: 3260kb
input:
120 3 119 1 101000110101001100011100001011101110101010000011101110010101101000111100111100001001010010110001110011001010110001101111
output:
856785458
result:
ok 1 number(s): "856785458"
Test #9:
score: 0
Accepted
time: 2ms
memory: 3416kb
input:
2 0 2 99 10
output:
67513337
result:
ok 1 number(s): "67513337"
Subtask #3:
score: 15
Accepted
Dependency #2:
100%
Accepted
Test #10:
score: 15
Accepted
time: 2ms
memory: 3328kb
input:
10 1 9 499 0110011010
output:
47418354
result:
ok 1 number(s): "47418354"
Test #11:
score: 0
Accepted
time: 2ms
memory: 3204kb
input:
100 0 100 49 1100100011111101111111001000000100010000101010110000011011110100100011111000111101100010001000001100
output:
100314042
result:
ok 1 number(s): "100314042"
Test #12:
score: 0
Accepted
time: 2ms
memory: 3452kb
input:
1000 0 1000 4 1011110001101000100110000111011110101100110011100010001100001101000111100011100011110101000010000100101011010110000110100011011010011000111100100100100001000011001000000000111001010001000000110001001011100010011101010011011110001101000010010000101000100001111101001100100001010010001100...
output:
738329201
result:
ok 1 number(s): "738329201"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3476kb
input:
5000 0 5000 1 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
76076468
result:
ok 1 number(s): "76076468"
Subtask #4:
score: 5
Accepted
Test #14:
score: 5
Accepted
time: 2ms
memory: 3376kb
input:
2 0 1 114514 10
output:
934764137
result:
ok 1 number(s): "934764137"
Test #15:
score: 0
Accepted
time: 2ms
memory: 3328kb
input:
2 0 1 1919810 01
output:
685371514
result:
ok 1 number(s): "685371514"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3188kb
input:
2 0 1 500000000 00
output:
318651831
result:
ok 1 number(s): "318651831"
Subtask #5:
score: 10
Accepted
Test #17:
score: 10
Accepted
time: 4ms
memory: 8408kb
input:
1000000 1000000 1000000 928 01100010010000000101111110001111011101111000011110100101011110011001001000011000110101101100111110000100101010111001111100010011100110000000111110110100001100000000011101100001010001010000010000001001000110011111010101111100001001110110010100000011000010010001111010011100...
output:
437299311
result:
ok 1 number(s): "437299311"
Test #18:
score: 0
Accepted
time: 2ms
memory: 3268kb
input:
100 100 100 10000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
output:
119118463
result:
ok 1 number(s): "119118463"
Subtask #6:
score: 10
Accepted
Test #19:
score: 10
Accepted
time: 23ms
memory: 8648kb
input:
1000000 0 1000000 1 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
852768823
result:
ok 1 number(s): "852768823"
Test #20:
score: 0
Accepted
time: 31ms
memory: 9440kb
input:
1000000 0 1000000 1 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
852768823
result:
ok 1 number(s): "852768823"
Subtask #7:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 5ms
memory: 9928kb
input:
1000000 0 9823 627 01110001011101001100010011100101001011000011011110001101010000000101010111110111110010010001110100101001111000111100011101111001000000100111000010010100010101110110111110100010101010001110111001100011010001111000101010000110010010101110101010111110110001110111111000001110000110011...
output:
383638431
result:
ok 1 number(s): "383638431"
Test #22:
score: 0
Accepted
time: 3ms
memory: 8812kb
input:
1000000 456755 465755 982 0100111111100111100010100011110111111101011111101110010011101011110011111010110000110001101001011101000110111100110100101111101011111010101011101000011101100000000111000010101011011000111010101101111011100101010010000110101011110010101011111101110101100010000100001110000100...
output:
982882798
result:
ok 1 number(s): "982882798"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3328kb
input:
1000 0 1000 999999 11101000001100101110100011011111010000110101000000010101111010110110100110000001101110100011010111001000000010110101110001010111101000100010010010110000000001011110010010101111110000100001000111000010110001100100011100001000111001110110001010100000110110000110001111101101000010111...
output:
337235666
result:
ok 1 number(s): "337235666"
Test #24:
score: 0
Accepted
time: 4ms
memory: 9920kb
input:
1000000 990001 1000000 999 110110000110101111001000001001011000010000101001111110001101100011001001111001010001110110010111110100000101110000101101000111001100010100010100001001001011011100001010111100110110011001110010001110011001111100011001100111110000111011011100100100011111101100011000100011011...
output:
794028825
result:
ok 1 number(s): "794028825"
Subtask #8:
score: 15
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Dependency #6:
100%
Accepted
Dependency #7:
100%
Accepted
Test #25:
score: 15
Accepted
time: 85ms
memory: 8784kb
input:
1000000 1 999999 632 111111100000011110001111101100010010111100000010101111111001010001101011101110001010010101001000111110101010100010011001101111011111011000011111011100101011110011000100100110111100101010000110010011110010111011001011001001001111000100000011101001100011011001100100011010000010100...
output:
610044514
result:
ok 1 number(s): "610044514"
Test #26:
score: 0
Accepted
time: 89ms
memory: 8596kb
input:
1000000 0 1000000 888 11011001110110111010100110110001000101110100001111110000011110101010110001100101010001110101010111001110100000110101000000011001111100100000010101100000011100110001011010110100001100111010100111011000110100100101110010100001100100000101000001101011010111001000101001110001111000...
output:
255140225
result:
ok 1 number(s): "255140225"
Test #27:
score: 0
Accepted
time: 77ms
memory: 9136kb
input:
1000000 0 1000000 1000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
1066353724
result:
ok 1 number(s): "1066353724"
Test #28:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
100 0 100 9999999 1000101010111010100001001100001001100101000000111000000000111010000000000000101001110011001000111011
output:
583823543
result:
ok 1 number(s): "583823543"
Test #29:
score: 0
Accepted
time: 172ms
memory: 14012kb
input:
2000000 0 2000000 499 11100010011000101100101001000010010011110000000110011101001000100010101101010001011001001011100000111010100110011111001100100101000001000010010000000000011111011100100100110001110011101100110101001011011101001111010100010011001101111110110100010011110111010110100000101100101100...
output:
356463868
result:
ok 1 number(s): "356463868"
Test #30:
score: 0
Accepted
time: 170ms
memory: 13776kb
input:
2000000 0 2000000 499 00010101111100001110110010101100100111001010011100011011001100101001001111110001010011100000001101010001111000000010111011111110111010111010010010000011011110001110010000000000110000101110110101010011101101011001011001011110100010101000000011010100010010101000010111101110000111...
output:
111807544
result:
ok 1 number(s): "111807544"
Subtask #9:
score: 0
Time Limit Exceeded
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Dependency #6:
100%
Accepted
Dependency #7:
100%
Accepted
Dependency #8:
100%
Accepted
Test #31:
score: 0
Time Limit Exceeded
input:
10000000 0 10000000 99 0011100100001001101101010011001111100000001110100000000100110100110110111110010010001001100100000111111100111100001110101001011101000101001001001010001011110101001101011001110011100011010101001101001111000010110011010000011011110110100001001101110111101101010011010011111111011...